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pollution a factory is dumping pollutants into a river at a rate given by dxdt t34600 tons per week where t is the
oil leakage an oil tanker hits a reef and begins to leak the efforts of the workers repairing the leak cause the rate
us population with us census bureau data actual and projected for selected years from 1960 to 2050 the rate of change
consumer prices the consumer price index cpi measures how prices have changed for consumerswith 1995 as a reference of
each of problem has the form int fx dxa evaluate each integral to obtain a family of functionsb find and graph the
paved roads suppose the rate of change of the percent p of us public roads that are paved can be modeled bydpdt
in problem a family of functions is given and graphs of some members are shownfind the function fx such that the family
memorization the rate of vocabulary memorization of the average student in a foreign language course is given bydvdt
radioactive decay radioactive substances decay at a rate that is proportional to the amount present thus if the amount
compound interest if p is invested for n years at 10 compounded continuously the rate at which the future value is
temperature changes when an object is moved from one environment to another its temperature t changes at a rate given
life expectancy suppose the rate of change of the expected life span l at birth of people born in the united states can
question boyles law boyles law for enclosed gases states that at a constant temperature the pressure is related to the
us households with cablesatellite tv suppose the rate of change of the percent p of us households with cablesatellite
question tumor growthnbspfor problem suppose that a tumor in a persons body has a spherical shape and that treatment is
question blood flow the resistance r of a blood vessel to the flow of blood is a function of the radius r of the blood
consumer price index the social security administration makes projections about the consumer price index cpi in order
question allometric relationships-crabsnbspnbspfor fiddler crabs data gathered by thompson show that the allometric
personal income suppose the rate of change of total personal income i in the united states in billions of dollars can
qusetion body weight and surface areanbspfor human beings the surface area s of the body is related to the bodys weight
question cell growthnbspa bacterial cell has a spherical shape if the volume of the cell is increasing at a rate of 4
qusetion water purification assume that water is being purified by causing it to flow through a conical filter that has
question volume and radius suppose that air is being pumped into a spherical balloon at a rate of 5 in3min at what rate
question boat docking suppose that a boat is being pulled toward a dock by a winch that is 5 ft above the level of the
question ladder safety a 30-ft ladder is leaning against a wall if the bottom is pulled away from the wall at a rate